Abstract
Efficient analysis of the quantum states of photons are essential for photonic quantum technologies. In the first part, we report the experimental demonstration of direct and efficient verification of entanglement between two multimode-multiphoton systems (one photon in three modes and two photons in three modes) using just two sets of classical correlation tables with and without a discrete Fourier transformation of the optical modes, clearly demonstrating a dramatic reduction in the resources required for entanglement verification. In the second part, we report our experimental demonstration of adaptive quantum state estimation for quantum states of photons changing in time.
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